In this paper,we establish common fixed point theorems for expansive map?pings on b-metric-like space and coincidence point for f-weakly isotone increasing mappings in partially ordered b-metric-like space.The main re...In this paper,we establish common fixed point theorems for expansive map?pings on b-metric-like space and coincidence point for f-weakly isotone increasing mappings in partially ordered b-metric-like space.The main results generalize and extend several well-known comparable results from the existing literature.Moreover,some examples are provided to illustrate the main results.展开更多
In this article, a Ky Fan matching theorem for transfer compactly open covers is established. As applications, a Fan-Browder coincidence theorem, a Ky Fan best approximation theorem and a Brouwer-Schauder-Rothe type f...In this article, a Ky Fan matching theorem for transfer compactly open covers is established. As applications, a Fan-Browder coincidence theorem, a Ky Fan best approximation theorem and a Brouwer-Schauder-Rothe type fixed point theorem are obtained.展开更多
Linguistic dynamic systems (LDS) are dynamic systems whose state variables are generalized from numbers to words. Generally speaking, LDS can model all evolving processes in word domains by using linguistic evolving l...Linguistic dynamic systems (LDS) are dynamic systems whose state variables are generalized from numbers to words. Generally speaking, LDS can model all evolving processes in word domains by using linguistic evolving laws which are naturally the linguistic extension of evolving laws in numbers. There are two kinds of LDS; namely, type-I and type-II LDS. If the word domain is modeled by fuzzy sets, then the evolving laws of a type-I LDS are constructed by applying the fuzzy extension principle to those of its conventional counterpart. On the other hand, the evolving laws of a type-II LDS are modeled by fuzzy if/then rules. Note that the state spaces of both type-I and type-II LDSs are word continuum. However, in practice, the representation of the state space of a type-II LDS consists of finite number while its computation actually involves a word continuum. In this paper, the existence of fixed points of type-II LDS is studied based on point-to-fuzzy-set mappings. The properties of the fixed point of type-II LDS are also studied. In addition, linguistic controllers are designed to control type-II LDS to goal states specified in words.展开更多
为设计高效稳定的演化算法,将方程求根的不动点迭代思想引入到优化领域,通过将演化算法的寻优过程看作为在迭代框架下方程不动点的逐步显示化过程,设计出一种基于数学模型的演化新算法,即不动点演化算法(fixed point evolution algorith...为设计高效稳定的演化算法,将方程求根的不动点迭代思想引入到优化领域,通过将演化算法的寻优过程看作为在迭代框架下方程不动点的逐步显示化过程,设计出一种基于数学模型的演化新算法,即不动点演化算法(fixed point evolution algorithm,FPEA).该算法的繁殖算子是由Aitken加速的不动点迭代模型导出的二次多项式,其整体框架继承传统演化算法(如差分演化算法)基于种群的迭代模式.试验结果表明:在基准函数集CEC2014、CEC2019上,本文算法的最优值平均排名在所有比较算法中排名第1;在4个工程约束设计问题上,FPEA与CSA、GPE等多个算法相比,能以较少的计算开销获得最高的求解精度.展开更多
本文研究了新型惯质调谐质量阻尼器(novel tuned mass damper inerter,NTMDI)的安装方法对其优化设计与减振性能的影响。详细介绍了NTMDI-R(反向安装的NTMDI)的力学模型,并采用经典固定点理论对NTMDI-R进行了优化设计,得到了NTMDI-R最...本文研究了新型惯质调谐质量阻尼器(novel tuned mass damper inerter,NTMDI)的安装方法对其优化设计与减振性能的影响。详细介绍了NTMDI-R(反向安装的NTMDI)的力学模型,并采用经典固定点理论对NTMDI-R进行了优化设计,得到了NTMDI-R最优结构参数的解析式;对比研究了NTMDI-R与现有四种经典调谐质量阻尼器(TMD、TMDI、VTMD和NTMDI)在简谐激励和随机激励下的减振效果,并探究了安装方法对NTMDI-R减振性能的影响。结果表明:正、反向安装的两种减振器(NTMDI和NTMDI-R)优化参数不同,安装方法对其减振性能有较大影响。当表观质量比β小于0.1时,NTMDI-R的减振效果差于NTMDI;而β大于0.1时,NTMDI-R的减振效果与NTMDI基本一致,因此采用NTMDI进行结构减振应明确其安装方向。基础加速度和荷载力分别作用下,NTMDI-R的减振效果相对于NTMDI分别降低了3.9%和4.7%。展开更多
基金Supported by the National Natural Science Foundation of China(12001249)the Natural Science Foundation of Jiangxi Province(20232BAB211004)the Educational Commission Science Programm of Jiangxi Province(GJJ2200523)。
文摘In this paper,we establish common fixed point theorems for expansive map?pings on b-metric-like space and coincidence point for f-weakly isotone increasing mappings in partially ordered b-metric-like space.The main results generalize and extend several well-known comparable results from the existing literature.Moreover,some examples are provided to illustrate the main results.
基金This work is supported by the Scientific Research Foundation of Bijie University.
文摘In this article, a Ky Fan matching theorem for transfer compactly open covers is established. As applications, a Fan-Browder coincidence theorem, a Ky Fan best approximation theorem and a Brouwer-Schauder-Rothe type fixed point theorem are obtained.
基金This work has been supported in part by Outstanding Overseas Scholar Award and Outstanding Young Scientist Research Fund.
文摘Linguistic dynamic systems (LDS) are dynamic systems whose state variables are generalized from numbers to words. Generally speaking, LDS can model all evolving processes in word domains by using linguistic evolving laws which are naturally the linguistic extension of evolving laws in numbers. There are two kinds of LDS; namely, type-I and type-II LDS. If the word domain is modeled by fuzzy sets, then the evolving laws of a type-I LDS are constructed by applying the fuzzy extension principle to those of its conventional counterpart. On the other hand, the evolving laws of a type-II LDS are modeled by fuzzy if/then rules. Note that the state spaces of both type-I and type-II LDSs are word continuum. However, in practice, the representation of the state space of a type-II LDS consists of finite number while its computation actually involves a word continuum. In this paper, the existence of fixed points of type-II LDS is studied based on point-to-fuzzy-set mappings. The properties of the fixed point of type-II LDS are also studied. In addition, linguistic controllers are designed to control type-II LDS to goal states specified in words.
文摘为设计高效稳定的演化算法,将方程求根的不动点迭代思想引入到优化领域,通过将演化算法的寻优过程看作为在迭代框架下方程不动点的逐步显示化过程,设计出一种基于数学模型的演化新算法,即不动点演化算法(fixed point evolution algorithm,FPEA).该算法的繁殖算子是由Aitken加速的不动点迭代模型导出的二次多项式,其整体框架继承传统演化算法(如差分演化算法)基于种群的迭代模式.试验结果表明:在基准函数集CEC2014、CEC2019上,本文算法的最优值平均排名在所有比较算法中排名第1;在4个工程约束设计问题上,FPEA与CSA、GPE等多个算法相比,能以较少的计算开销获得最高的求解精度.
文摘本文研究了新型惯质调谐质量阻尼器(novel tuned mass damper inerter,NTMDI)的安装方法对其优化设计与减振性能的影响。详细介绍了NTMDI-R(反向安装的NTMDI)的力学模型,并采用经典固定点理论对NTMDI-R进行了优化设计,得到了NTMDI-R最优结构参数的解析式;对比研究了NTMDI-R与现有四种经典调谐质量阻尼器(TMD、TMDI、VTMD和NTMDI)在简谐激励和随机激励下的减振效果,并探究了安装方法对NTMDI-R减振性能的影响。结果表明:正、反向安装的两种减振器(NTMDI和NTMDI-R)优化参数不同,安装方法对其减振性能有较大影响。当表观质量比β小于0.1时,NTMDI-R的减振效果差于NTMDI;而β大于0.1时,NTMDI-R的减振效果与NTMDI基本一致,因此采用NTMDI进行结构减振应明确其安装方向。基础加速度和荷载力分别作用下,NTMDI-R的减振效果相对于NTMDI分别降低了3.9%和4.7%。
